Geometry; 10/26

We spent some time at the beginning of the period answering any questions from the review sheets.  We then went over a couple more proofs before getting started on the angle review puzzle.  We worked on this and a parallel line review in class and compared answers before we left.  The chapter 3 test is tomorrow and we will turn the review sheets in then.


Assignment:  Angle properties review + proofs review


Answers appear below.

Angle Properties Review:

1.  80
2.  60
3.  120
4.  140
5.  120
6.  120
7.  140
8.  80
9.  70
10.  40
11.  70
12.  70
13.  80
14.  80
15.  40
16.  120
17.  60
18.  100
19.  100
20.  140

Parallel Lines Review

1.  lines l and t
2.  lines j and k
3.  lines l and t
4.  lines j and k
5.  lines l and t
6.  none
7.  lines j and k
8.  lines j and k
9.  none
10.  lines l and t

Proof review sheet

8.  Statements                                      Reasons

AB parallel to EC;                            given

BC parallel to EF                              given

angle 7 congruent to angle 5            if line parallel, corr. angles congr.

angle 5 congruent to angle 4            if lines parallel, AIA congruent

angle 7 congruent to angle 4            substitution

9.

          Statements                                   Reasons

line g parallel to line h                           given

angle 1 congruent to angle 2                  given

angle 1 congruent to angle 3                 if lines parallel, corr. angles congruent

angle 2 congruent to angle 3                 substitution

line p parallel to line r                           if AEA congruent, then lines parallel

11.  

        Statements                                    Reasons

line g parallel to line h                          given

angle 1 and 4 are supplementary          given

angle 1 + angle 4 = 180                        def. of supplementary

angle 1 = angle 2                                  if lines parallel, AIA are congruent

angle 2 + angle 4 = 180                        substitution

angle 2 and 4 are supplementary          def. of supplementary

line p parallel to line r                          if SSI angles are supp., then lines parallel